Cremona's table of elliptic curves

11970 = 2 · 3² · 5 · 7 · 19

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 7+ 19+	Signs for the Atkin-Lehner involutions
Class	11970bj	Isogeny class
Conductor	11970	Conductor
∏ cp	280	Product of Tamagawa factors cp
Δ	1539641250000000 = 27 · 33 · 510 · 74 · 19	Discriminant
Eigenvalues	2- 3+ 5- 7+  0 -2  2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-29342,429741]	[a1,a2,a3,a4,a6]
Generators	[-79:1539:1]	Generators of the group modulo torsion
j	103470181314070563/57023750000000	j-invariant
L	7.2046460995893	L(r)(E,1)/r!
Ω	0.41378573937814	Real period
R	0.24873625626417	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	95760cw2 11970a2 59850o2 83790cu2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11970bj2

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	+	-	+	0	-2	2	+	-4	4	-4	-2	-10	2	-12	2	-10	-10	8	4	2	4	4	10	-8

---

Quadratic twists for elliptic curve 11970bj2

-4	-3	5	-7
95760cw2	11970a2	59850o2	83790cu2

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations